GCF of 1467/446, 3210/575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1467/446, 3210/575 i.e 3/256450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1467/446, 3210/575.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1467/446,3210/575?
Given fractions are 1467/446,3210/575
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1467/446,3210/575, numerators are 1467,3210
Denominators are 446,575
The GCF of 1467,3210 is 3 .
LCM of 446,575 is 256450.
The greatest common factor of 1467/446,3210/575 = [GCF of 1467,3210]/[LCM of 446,575]= 3/256450
Therefore, the GCF of 1467/446,3210/575 is 3/256450.
To find the highest common factor of 1467,3210, we have to find the factors of both numbers and list the highest common factor.
The factors of 1467 are 1, 3, 9, 163, 489, 1467
The factors of 3210 are 1, 2, 3, 5, 6, 10, 15, 30, 107, 214, 321, 535, 642, 1070, 1605, 3210
The HCF of 1467,3210 is 3.
Lets's calculate GCF of 1467,3210
| 3 | 1467, 3210 |
| 489, 1070 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1467,3210 By Matching Biggest Common Factor Method
Now, list down the factors of 1467
:1,3,9,163,489,1467
Now, list down the factors of 3210
:1,2,3,5,6,10,15,30,107,214,321,535,642,1070,1605,3210
Greatest Common Factor
We found the factors 1467,3210 . The biggest common factor number is the GCF number.
So the greatest common factor 1467,3210 is 3.
Lets's calculate LCM of 446,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 256450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/256450
Therefore, the GCF of Fractions 1467/446,3210/575 is 3/256450
Least Common Multiple of 446,575 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 446,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(446,575) x common factors =1 x 1 = 1
LCM(446,575) = ( 446 × 575 ) / 1
LCM(446,575) = 256450 / 1
LCM(446,575) = 256450
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1467/446, 3210/575
1. What is the HCF of 1467,3210?
The HCF of 1467,3210 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1467/446, 3210/575?
Answer: GCF of Numerators as per given numbers 1467/446, 3210/575 is
GCF of Numerators i.e. for 1467,3210 is 3
LCM of denominators i.e. for 446,575 is 256450.
Thus, GCF of Fractions is 3/256450.Finally, GCF of Fractions for 1467/446, 3210/575 is 3/256450.